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Creators/Authors contains: "Pappas, Georgios"

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  1. ; (, Mathematische Annalen)
    Abstract We give a simple and uniform proof of a conjecture of Haines–Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead relying on a combinatorial analysis of tangent spaces of Schubert varieties. 
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  2. ; (, Algebraic Geometry)
    Free, publicly-accessible full text available November 1, 2025
  3. ; (, Cambridge journal of mathematics)
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  4. (, Mathematische Annalen)
    We show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is parahoric by formulating a definition of a ``canonical" integral model. We then prove that, in Hodge type cases and under a tameness hypothesis, the integral models constructed by the author and Kisin in previous work are canonical and, in particular, independent of choices. A main tool is a theory of displays with parahoric structure that we develop in this paper. 
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  5. (, Advances in Mathematics)
    null (Ed.)
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  6. ; ; (, Journal de l’École polytechnique — Mathématiques)
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  7. (, Proceedings of the International Congress of Mathematicians, Rio de Janeiro)
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  8. ; (, Publications mathématiques de l'IHES)
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  9. ; ; ; ; ; (, International Mathematics Research Notices)
    null (Ed.)
    Abstract Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in terms of $$n$$-th power residue symbols. This formalism leads to a precise arithmetic analogue of a “path-integral formula” for linking numbers. 
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